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math-ph2023★ 1 cited
The geodesic flow of the BGPP metric is Liouville integrable
Andrzej J. Maciejewski, Maria Przybylska, Galliano Valent
We prove that the geodesics equations corresponding to the BGPP metric are integrable in the Liouville sense. The symmetry of the model allows to reduce…
math-ph2023★ 2 cited
Koenigs Theorem and Superintegrable Liouville Metrics
Galliano Valent
In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their…